3.1. Single crystal structure of compounds 1-3
Single-crystal X-ray diffraction measurements were performed on the orange, block-like crystals of [hexakis(
N,N’-dimethylurea-O)iron(III)] nitrate (compound
1) and on the orange rod-like crystals (needles) of [hexakis(
N,N-dimethylurea-O)iron(III)] nitrate trihydrate (compound
3). Measurement conditions and cell parameters are listed in
Table 1. Both compound
1 and compound
3 crystallized from aqueous solution by slow evaporation of the solvent in the trigonal crystal system and
R-3 space group. Orange prism-like crystals of [diaquatetrakis(
N,N-dimethylurea-O)iron(III)] nitrate (compound
2) were grown from the same solution together with compound
3 and measured by single-crystal X-ray diffraction. Compound
2 crystallized in the triclinic crystal system and
P-1 space group. The cell parameters for compounds
1-
3 are given in
Table 1. The calculated and the experimental powder X-ray diffraction patterns agree well for compounds
1 and
2 (ESI
Figure S1 and S2) and there was no sign of structural change between -140 and 20 °C on DSC spectra (ESI
Figure S3 and S4).
In compounds
1 and
3, six dimethylurea ligands coordinate to the central Fe
III ion via the oxygen in octahedral geometry (
Figure 1a,b). Dimethylurea ligands are arranged in a propeller-like manner, dividing the complex cations into two sides, as being characteristic of hexaurea transition metal complexes. In compound
1, the dimethylurea propellers screw in the opposite direction on the two sides of the complex and in compound
3, they are arranged with the same handedness on the two sides. In compound
2, two of the
N,N-dimethylurea ligands are exchanged for water in the coordination sphere of iron (
Figure 1c). The accidental replacement of the urea ligands with water within the coordination sphere of the central metal ion can be observed also at Mn
II, Co
II, Ni
II, and Zn
II analogs [
41,
42,
43,
44].
The different positions of the methyl groups on the urea ligands and the partial substitution of the urea ligands with water in the coordination sphere of iron, result in basically different packing arrangements of the complexes (
Figure 2). In compound
1, the complex cations are sandwiched between two nitrate anions and the resulting “ionic sandwiches” are arranged in columns running parallel to the crystallographic
c direction. However, these sandwiching nitrates have hydrogen bond interactions only with the complex cations in the neighboring columns and not with the cations that they straddle. Their interaction with the straddling nitrate ions is rather an ionic interaction with the positively charged coordination sphere of the Fe
3+ ion. A large number of intramolecular hydrogen bridges are formed between the dimethylurea ligands of the [hexakis(dimethylurea-O)iron(III)]
3+ cations that consume the hydrogen bond donor and acceptor abilities of the inside of the coordination sphere of iron and no hydrogen bonds can be formed under and above the cations. Therefore, the cations interact with the nitrate ions only with their external functional groups. Between the nitrate-[Fe(
N,N’-dimethylurea)
6]
3+-nitrate sandwiches, two strongly disordered nitrate anions fill the space each with half occupancy. In compound
3, the complex cations form columns that are separated by distinct columns of the nitrate anions. The neighboring complex cations within one column do not have any hydrogen bond interactions with each other only radially with the nitrate ions. In compound
2, layers of the complex cations are separated by nitrate layers. The [diaquatetrakis(
N,N-dimethylurea-O)iron(III)]
3+ cations are able to form hydrogen bonds even axially, through their water ligands.
In compound
1, all coordinative Fe-O bond lengths are equal, 2.004(1) Å, however, the O-Fe-O angles show a slight distortion from the octahedral geometry, since they are 92.13(6)° and 87.87(6)°. The bond lengths and angles are listed in ESI
Table S2. This distortion is more remarkable than that in the complex cation of the perchlorate salt (Fe(
N,N’-dimethylurea)
6](ClO
4)
3), where the O-Fe-O bond angles vary between 88.19 and 91.81° (ESI
Table S3) The distortion of the complex cation of compound
1 is caused by the internal hydrogen bond system (
Figure 3). The H1 amide hydrogens facing to the interior part of the complex cation get close to the coordinated O1 atoms of the neighboring
N,N’-dimethylurea ligands and in this arrangement, an intramolecular hydrogen bond is formed between them. The result of this hydrogen bonding is that the ligands
A are “pulled down”, the ligands
B are “pulled up” that causes the distortion of the complex (
Figure 3a).
Beside the internal hydrogen bonding, the H2 amine hydrogens of
N,N’-DMU ligands form intermolecular hydrogen bonds with the NO
3- anions (2.05 Å). Each NO
3- ion forms three identical hydrogen bonds with three different complex cations (
Figure 3b,c) and the nitrate anions are symmetric, i.e., the N-O bond lengths are uniformly 1.252(2) Å and the O-N-O angles are 120.00°.
The C-O bond length increases from 1.242 to 1.283(2) upon coordination as compared to the uncoordinated
N,N’-dimethylurea [
1]. Furthermore, the N1-C-N2 bond lengths become asymmetric in the complex, one of them becomes longer and the other becomes shorter (from 1.329 to 1.335(3) and 1.324(3), respectively) [
1]. For these changes, the coordination and the different hydrogen bond strengths are responsible.
In compound
3, the six coordinated
N,N-dimethylurea ligands are placed around the Fe
3+ ion in an octahedral geometry and are arranged in a propeller-like manner, dividing the complex into two sides and the rotation direction of the ligands are different at the two sides of the complex. This way, the complex has a helical chirality. This arrangement is similar to the [Fe(urea)
6]
3+ cation, [
1,
2] however it differs from that in compound
1 (
Figure 1b). The two sides of the complex cations differ not only in the rotation direction of the ligands but also in the hydrogen bond formation. On one side of the complex cation, the ligands form intermolecular hydrogen bonds only with the crystal waters, meanwhile on the other side of the complex, the ligands form hydrogen bonds only with the NO
3- ions (
Figure 4). These differences result in different Fe-O bond lengths on the two sides of the complex cation of compound
3, three 2.009(1) Å and three 2.017(1) Å bond lengths were measured, the shorter one belongs to the side where hydrogen bonds are formed only with the water molecules (
Figure 4.). Due to these effects, there is a slight distortion in the octahedral geometry of the complex cation of compound
3 (ESI
Table S6 and S7). The O-Fe-O angles prove to have distorted octahedral geometry too, as they vary between 88.70°and 91.19° (ESI
Figure S5).
One of the H atoms of the -NH
2 groups (the one facing inside) on each ligand forms an intramolecular hydrogen bond with the coordinated O atom of the neighboring ligand, all together 6 internal hydrogen bonds just like in the [M(
N,N-dimethylurea)
6]
2+ (M= Mn
II, Co
II, Ni
II and Zn
II complex cations [
41,
42,
43,
44]. The other H atoms of the -NH
2 groups (facing outside) form intermolecular hydrogen bonds with the nitrate anions or water molecules. (
Figure 4). The methyl groups on the N5 and N11 atoms of complex cation of compound
3 are facing outside of the center of the complex cation due to the steric hindrance (
Figure 1c) and these groups do not form any hydrogen bonds (
Figure 4). Similarly to the compound
1 structure, in compound
3 the [Fe(
N,N-dimethylurea)
6]
3+ cations form columns along the
c unit cell axis (
Figure 3b). The columns are filled with interconnected NO
3- anions and water molecules forming a hydrogen bonding system. Each of the O atoms of the NO
3- ions form hydrogen bonds: one O atom with the complex cation, one with hydrogen of one water molecule and one with the H atoms of two different water molecules (bidentate), resulting in structurally distorted anions with three non-equivalent N-O bond lengths: 1.243(2) Å (connected to the complex cation), 1.243(2) Å (connected to one water molecule) and 1.251(2) Å (connected to two water molecules) (ESI
Figure S6). The O atom of each water molecule forms hydrogen bond with the complex cations. Both H atoms of the water molecules form H bonds as well: one with one O atom and one with two of the NO
3- ions (ESI
Figure S6). This hydrogen bond system is similar to the Mn
II, Co
II, Ni
II and Zn
II –
N,N-dimethylurea analogue complexes [
41,
42,
43,
44].
In compound
2, in contrast to compound
3, only four
N,N-dimethylurea (equatorial) and two water (axial) molecules coordinate to the central Fe
3+ atom forming an octahedral coordination geometry (
Figure 1c).
The crystallization of compound 2 seems energetically more favorable, since from the reaction solution (described in section 2.2) a large amount of compound 2 formed (at the whole area of the solution) and a small amount of compound 3. Our assumption was confirmed by changing the condition of the synthesis: when the reaction mixture contained a 1:4 molar ratio of Fe to N,N-dimethylurea, only crystals of compound 2 formed.
Two different complex cations can be found in the unit cell of compound 2 (
A and
B) with a slight distortion from the octahedral symmetry with different Fe-O bond lengths. The Fe-O bond lengths which belong to the coordinated water molecules are different: 2.026(2) (complex cation
A) and 2.033(2) Å (complex cation
B). In both complex cations the H atoms of the coordinated water molecules differ: the H1(WB) and H2(WB) form monodentate-, while H1(WA) and H2(WA) form a bidentate hydrogen bond (
Figure 5). In complex cation
A the H1(WB) hydrogen binds to an O atom of a nitrate anion, whereas in complex cation
B, the H2(WB) binds to the O atom of a nitrate anion, which has a hydrogen bond with the
N,N-dimethylurea ligand (the neighbor of the coordinated water molecule) (
Figure 5) (the Fe-O bond length is 2.026(2) Å). In the complex cations
A and
B of compound
2, the
N,N-dimethylurea ligands can be divided into two groups:
N,N-dimethylurea ligands
I have shorter Fe-O bond lengths (1.960 and 1.970 Å)
N,N-dimethylurea ligands
II having longer bonds (2.002 and 2.009 Å). The shorter Fe-O bond lengths (1.960 and 2.002 Å) belong to the complex cation
A. The hydrogen bonding system is also responsible for the differences. The –NH
2 groups of
N,N-dimethylurea ligands
I form one intramolecular (with the O atom of neighboring
N,N-dimethylurea ligand
II) and one intermolecular (with a bidentate O atom of a NO
3- ion) hydrogen bond, while the –NH
2 groups of the
N,N-dimethylurea ligands
II form two intermolecular hydrogen bonds (with two different NO
3- ion) (
Figure 5). In complex cation
A and
B ligands
I differ in the intermolecular hydrogen bond lengths (2.081 and 2.090 Å, respectively) and in the (N-)H-O(-N)-H(-O) angle of the bidentate nitrate anion (176.2 and 108.6, respectively) (
Figure 5). In complex cation
A and
B, ligands
II differ in the angles enclosed by the two nitrate anions and the –NH
2 group of the ligand ((O
2N-)O-N-O(-NO
2)), being 96.4 and 120.6°, respectively (
Figure 5).
Unlike the structures of compounds
1 and
3, in compound
2 [Fe(
N,N-dimethylurea)
4(H
2O)
2]
3+ cations form layers (
Figure 2c) that are separated by interconnected NO
3- ions forming a hydrogen bonding system and connecting the complex cations A-s and B-s. Three crystallographically different nitrate anions can be found in each cationic column, and all three kinds are slightly distorted (the N-O bond lengths and O-N-O angles are listed in ESI
Table S11). The three nitrate ions form four hydrogen bonds in a way that they have one bidentate O atom and two monodentate O atoms (ESI
Figure S7), however, the anions differ in their hydrogen bondings. NO
3- A and
B connect three different complex cations via hydrogen bonding, but the bonding angles of their bidentate bonded O atoms differ (176.2 and 108.6 °, respectively). Meanwhile, NO
3- C is connected to two different parts of two different complex cations: the bidentate O atom is connected to the H of a coordinated water molecule and a H of the amino group of the coordinated
N,N-dimethylurea, while one monodentate O atom is coordinated to the H of the a water molecule, and another monodentate O atom is coordinated to the H of the amino group of the
N,N-dimethylurea. The hydrogen bonding system in compound
2 resembles more the Mn
II, Co
II, Ni
II, and Zn
II N,N-dimethylurea complexes than compounds
1 and
3 since there are more crystallographically different NO
3- and all of them have bidentately connected O atoms to different complex cations [
41,
42,
43,
44].In both complex cations of compound
2, only two intramolecular hydrogen bonds can be found, which is much less than the 6 intramolecular hydrogen bonds in both compounds
1 and
3. This is due to the asymmetric methylation of urea, the two coordinated water molecule, and the propeller-like structure of the complex cations. In this way, only two amino groups face the center of the complex cations and are close enough to the neighboring O atom of the coordinated
N,N-dimethylurea ligands. The other two coordinated
N,N-dimethylurea ligands and the two coordinated water molecules form only intermolecular hydrogen bonds with two different nitrate anions. A similar effect was recognized in the case of Mn
II, Co
II, Ni
II, and Zn
II complexes, where with the decrease of the
N,N-dimethylurea ligands the number of internal hydrogen bonds decrease as well (and become zero in the case of [M(
N,N-dimethylurea)
2(H
2O)
4]
2+ (M= Mn
II, Co
II, Ni
II and Zn
II) [
41,
42,
43,
44].
In compound
1, two Fe-Fe distances were found between the neighboring [Fe(
N,N’-dimethylurea)
6]
3+: 10.275 Å and 12.123 Å, the shortest is similar to the analogue perchlorate complex (10.038 Å) (ESI
Figure 8) [
23]. The Fe-Fe distances in compound
3 are much shorter than in compounds
1 and
2, and are similar to the Me-Me distances in the Co
II, Ni
II, and Zn
II analogues, the shortest distances are 6.633 and 7.280 Å (ESI
Figure S9). The shortest Fe-Fe distance in [diaquatetrakis(
N,N-dimethylurea)iron(III)] nitrate is longer than that in compound
3 and shorter than that in compound
1, so it is closer to the Co
II, Ni
II, and Zn
II N,N-dimethylurea complexes. Its value is 9.388 Å (ESI
Figure S10) [
41,
42,
43,
44].
3.2. Vibrational spectrum of compound 1
The room temperature IR spectra of compound
1 ([hexaqua (
N,N’-dimethylurea)iron(III)] nitrate ) has partly been evaluated by Masłowska et al. [
45], but there are no available data about the far-IR and Raman studies of this compound. The results of the IR (room temperature) and Raman (room temperature and liq. N
2 temperature) measurements on compound
1 and the assignments of the vibrational modes are given in ESI
Figures S11 and S12 and ESI
Table S12. The results of the correlation analysis for the nitrate ions are given in
Figure 6.
The N-H stretching mode region contains four IR and five Raman bands, whereas Maslowska found only one wide IR band in this region [
45]. The appearance of these bands might be attributed to the presence of the two crystallographically different cations (
A and
B –
Figure 2a, section 3.1.), the non-equivalence of ligands in the trans- and cis-octahedral positions, and the distorted nature of the octahedral cations, or because the
N,N’-dimethylurea ligand has a considerable double-bond character, the relative positions of two imides and the carbonyl groups. The (cis,trans)-configuration of the free
N,N’-dimethylurea is less favorable [
46] and less symmetric than the trans, trans and (cis,cis)-configurations, but the coordination to iron(III) and the hydrogen bonds fix the ligands in this configuration causing splitting and shifting the
νs(N-H) and
νas(N-H) bands as compared to the
νs(N-H) and
νas(N-H) modes of the free ligand.
The room temperature and low-temperature Raman spectra (-80 and -180 °C) show that the lowering of the temperature resulted in the splitting of the Raman bands (ESI
Figures S12 and S13). Similar reasons explain the increase in the number of bands belonging to symmetric and antisymmetric C-H modes of the methyl groups in the IR and Raman spectra, respectively (
Figure 7 and ESI
Tables S12 and S13(a)).
The band observed at 3111 cm
-1 in the IR spectrum of compound
1 might belong to the strongest N-H bond facing outside of the complex cation of compound
1, bonded to a nitrate anion (the smallest length and angle difference between the cations A and B were observed for this hydrogen bonding environment (discussed in section 3.1.). Making this assumption, we can expect that these N-H bonds of ligands A and B energetically do not differ enough to result in splitting or making a shoulder/widening of the band belonging to these fragments. The band positions of
νs(C-H) and
νas(C-H) modes in the IR spectrum of compound
1 slightly differ from the results given by Mido [
46] due to the different configurations of the free (trans, trans) and the complexed (cis,trans) ligand in compound
1. A temperature dependence could be observed in the Raman spectra similar to that found for
ν(N-H) bands (
Figure 7a, ESI
Table S12).
The amide I, II, and III bands belong to the mixed modes of
ν(C=O),
ν(C-N), and
δ(NH) and are located at 1625 cm
-1, 1596 cm
-1 and 1266 cm
-1 in the IR spectrum of the free ligands, respectively. The greatest contribution of
ν(C=O) is expected in the amide I band and a less contribution of
ν(C=O) is expected in the amide II band. Accordingly, due to the C=O coordination “pile-up” and “spill-over” effects, the amide I and II bands observed in the IR spectrum of compound
1 were shifted to 1621 cm
-1 and 1595 cm
-1, respectively. The higher shift of the amide I band than the amide II band confirms the higher contribution of
ν(C=O) mode in the amide I than in the amide II band. The splitting of amide I and II bands may be attributed to the influence of the (cis,trans)-NH, or axial/equatorial ligand arrangements. The main components in the amide II band are the
ν(C-N) and the
δ(NH) modes (ESI
Table S12), whereas the main component of the amide III band is the
δ(NH), and additional components are
ν(CN) and
ν(C’-N). A strong band at 1336 cm
-1, and two bands at 1280 and 1255 cm
-1 appeared.
The band at 1336 cm
-1 may be attributed to the presence of the (cis,trans)-conformer, because the solution phase IR spectrum of the free ligand contains a band at this position (due to rotation of the dissolved species) [
46], which cannot be seen in the solid (frozen) sample. The Raman spectra recorded at liq. N
2 temperature showed an unresolved wide band around 1669 cm
-1 (amide I), whereas the amide II and III bands are weak due to low Raman intensity of CN and N-H modes (
Figure 7b, ESI
Figure S13c,d and ESI
Table S12).
The symmetric deformation mode of methyl groups and a combined band of
ν(C’N) and rocking mode of methyl groups are expected to be in the band position range of the antisymmetric and symmetric stretching modes of the nitrate ion. Therefore, a correlation analysis has been done to determine the number and splitting of the expected modes of the nitrate anion in compound
1 (
Figure 6).
The intensity of the antisymmetric and symmetric N-O modes of the nitrate ion is higher and lower in the IR and then the Raman spectra, respectively. The isolated
D3h nitrate ion has three IR active (
ν2,
ν3, and
ν4) and three Raman active (
ν1,
ν3, and
ν4) modes. The symmetry decrease causes all four normal modes to become IR and Raman active in the spectra of compound
1.
There are two formula units in the primitive cell, the site group is
C3, and the factor group is
S6. We can expect two (
ν1 and
ν2) singlet IR (
Au) and Raman (
Ag) and two (
ν3 and
ν4) doubly degenerate IR (
Eu) and Raman (
Eg) bands. The
Ag and
Au rotational and translational (
Rz,
Tz) modes are singlets, whereas the
Eg and
Eu rotational and translational modes (
Rxy,
Txy) are doubly degenerate. Considering the singlet nature of
ν1(N-O) band, among the four experimentally found bands with weak/medium intensity at 1099, 1064, 1047, and 1037 cm
-1, in the IR spectrum, three belong to the
ν(C’-N) and
ρ(CH
3) mixed bands of ligands, and only one may belong to the nitrate ion (
Figure 7b). The Raman spectrum recorded at low temperature unambiguously shows a very strong narrow singlet at 1052 cm
-1, which is much more intense than the other bands, thus it is assigned as
ν1(NO
3) in the Raman spectrum. One among the bands located at 1064 or 1047 cm
-1 in the IR spectrum might belong to the
ν1(NO
3) mode and the other to a mixed
N,N’-dimethylurea ligand band. Since no N-H-containing species contributes to the mixed ligand bands, we cannot distinguish these bands by deuteration. However, the nitrate ion
ν1(NO
3) mode in compound
2 was assigned at 1044 cm
-1 (see below), thus probably the band at 1047 cm
-1 belongs to the nitrate ion
ν1(NO
3) mode in the IR spectrum of compound
1. The
ν2 band of the nitrate ion was found at 829 and 762 cm
-1 as a doublet in the IR spectrum of compound
1, the Raman intensity of this deformation mode is low (ESI
Figure S13(e),(f)). The antisymmetric stretching mode of nitrate ion appears as a doublet both in the IR and Raman spectra, at 1396/1374 cm
-1 and 1402/1384 cm
-1, respectively (ESI
Figure S13(c),(d)). The intensities of these bands are much lower in the Raman than in the IR spectrum. The well-separated bands around 1300 (IR) and 1330 cm
-1 (Raman) are close to the expected range of the
ν3(NO
3) mode belonging to the mixed
δ(NH),
ν(CN),
ν(C’N) and
ν(C=O) modes (ESI
Table S12). The
ν4(N-O) mode (deformation) is located at 724/707 and 729/716 cm
-1 in the IR and Raman spectra, respectively (
Figure 7 and ESI
Figure S13(g),(h)). The bands belonging to Fe-O coordination of the cations types
A and
B were found at 389 cm
-1 in the IR as a wide band with shoulders and at 420 and 383 cm
-1 in the low-temperature Raman spectra (ESI
Figure S12 and ESI
Table S12). The lattice modes appear in the far-IR spectra at 303, 248, 157, and 129 cm
-1 (ESI
Figure S11(a)).
3.3. Vibrational spectrum of compound 2
Compound
2 ([diaquatetrakis(
N,N-dimethylurea)iron(III)] nitrate) has not been prepared previously, therefore there are no available spectroscopic data about it. The equatorial positions are filled only with
N,N-dimethylurea ligands, whereas the axial position is filled only with water ligands. One would expect the resonance structures to contribute less to the spectral characteristics (due to the lack of NH-C(=O)-NH linkage) than in the complexes with
N,N’-dimethylurea [
46]. The IR and Raman spectroscopic data (the later measured at both room temperature and liq. N
2 temperature) together with the IR spectrum of the perdeuterated derivative (
2-D12, the ligands are Me
2NCOND
2 and D
2O) are given in
Figure 8 and
Figure 9, ESI
Table S13 and ESI
Figure S14-S16.
Since the structure consists of relatively strong hydrogen bonds by NH
2 groups and H
2O ligands (
Figure 8), the symmetric/antisymmetric OH and NH bands appear in the IR spectrum of compound
2 at 3410 and 3336/3229/3159sh cm
-1. The band at the highest wavenumber belongs to the coordinated water, whereas the other two bands and the shoulder may belong to the symmetric and antisymmetric modes of NH
2 group. The deuteration experiments resulted in four bands in the IR spectrum of compound
2-D12 (
Figure 8c and
Figure 9c and ESI
Figure S14). The
ν(OH)/
ν(OD) ratio is 1.33, whereas the
ν(NH)/
ν(ND) ratio is varied between 1.37 and 1.45 due to the difference in the strength of hydrogen bonds between the amino group hydrogens and electron donating groups. The band at 1641 cm
-1 is located close to the amide I band of the free ligand (1642 cm
-1). This band completely disappears on deuteration, while a somewhat broad band appears in the IR spectrum of compound
2-D12 between 1190 and 1160 cm
-1. Thus, this band and the shoulder can be assigned to the
δ(OH) scissoring modes of the coordinated and crystal water. The amide I band of the coordinated ligand is located at 1585 cm
-1 in the IR spectrum of compound
2 and contains
ν(C=O),
ν(C-N) and
δ(NH) contributions. The
δ(NH)/
δ(ND) ratio in the free ligand was found to be 1.37 [
46], and accordingly, the
δ(ND) mode coincides with the experimentally found wide band system between 1190 and 1160 cm
-1 in the IR spectrum of compound
2-D12 (
Figure 9c and ESI
Figure S14 and ESI
Table S13).
The amide II IR band is found at 1514/1497 cm
-1, and the component of 1497 cm
-1 disappeared on deuteration, whereas the component at 1520 cm
-1 remained. Thus, the components at 1497 and 1514 cm
-1 in the IR spectrum of compound
2 belong to
δ(NH
2) and C-N mode contributions, respectively, and the
δ(ND
2) component appears at 1071 cm
-1 in the IR spectrum of the deuterated compound (
δ(NH)/
δ(ND)=1.40). The
δr mode of NH
2 group in the IR spectrum of compound
2 appeared at 1094 cm
-1, and using the
δr(NH)/
δr(ND) value given the for the free ligand (1.27) by [
46], the new intense band at 912 cm
-1 in the IR spectrum of compound
2-D12 can be assigned to
δr(ND
2). The
δr(Me) and
νs(CN) combined band located at 1062 cm
-1 shifts on deuteration only slightly, and splits into two bands at 1044 and 1023 cm
-1, representing separated
δr(Me) and
νs(CN), respectively. The
νs(CN) band is expected to be more sensitive to deuteration following the logic of mechanically coupled oscillators.
The
νas(N-O) nitrate bands are expected to be in the range of
δs(CH
3) modes (~1400 cm
-1) of the
N,N-dimethylurea ligand [
46] (ESI
Table S13). The correlation analysis of the nitrate ion is given in
Figure 10.
The isolated
D3h nitrate ion has three IR active (
ν2-
ν4) and three Raman active (
ν1,
ν3 and
ν4) modes. In compound
2, (
Z=6), the primitive cell contains 2 formula units (
Z/3), that is 6 nitrate anions, all being crystallographically equivalent. The site group is
C1, and the factor group is
S6. Accordingly, all bands become IR and Raman active (
Figure 10). Six bands for both
Au and
Ag symmetries and another six for both
Eu and of
Eg symmetries are expected, in the IR (the
ungerade modes) and Raman (the
gerade modes).
The components of the antisymmetric stretching modes of the nitrate ion in the IR spectrum of compound
2 are located at 1384 and 1309 cm
-1, whereas the deuteration causes minor ~2 cm
-1 shifts of these positions, as is often the case because there are no pure group vibrations in reality (
Figure 9b). In the Raman spectrum, only one very weak
ν3(NO
3) Raman band was detected (
Figure 9a). A possible coinciding band at 1288 cm
-1 in the IR appears at 1281 cm
-1 in the Raman spectrum and was assigned to the
ν(CN) mode, whereas the
δs(CH
3) appears at 1427 both in the IR and Raman spectra. The strong singlet Raman band is also typical for
νs(N-O) (
ν1) at 1044 cm
-1, and the weak 719 and 713 cm
-1 Raman bands belong to
ν4(N-O). A very weak Raman band was observed as
ν2(NO
3) at 821 cm
-1, and this mode was found also at 823 cm
-1 in the IR spectra of compound
2 and
2-D12 as well (ESI
Figure S14 and S16). In the IR spectrum, the band at 1044 cm
-1 hardly changes on deuteration, whereas the two neighboring bands are shifted by ~20 cm
-1, which indicates that these bands belong to ligand groups, which are located close to N-H(N-D) groups, whereas the band to 1044 cm
-1 belongs to
ν1(N-O) band. This band shifts only to a minor extent (1 cm
-1) on deuteration which is comparable to the shift of other (
ν3) nitrate bands (
Figure 9b,c). There are three translational (
Tx,
Ty,
Tz) and three rotational (
Rx,
Ry,
Rz) modes for
Au,
Ag,
Eu and
Eg, each, for the nitrate ions in compound
2, in the IR and Raman spectra (
Figure 9a,b).
The correlation analysis of crystal water molecules is given in ESI
Figure S17. For compound
2, the primitive cell contains 6 water molecules, all being crystallographically equivalent. Three normal modes (
ν1,
ν2, and
ν3) are active in
Ag and
Eg, as well as in
Au and
Eu, as Raman and IR active modes, respectively. Similarly, there are 6 external modes (
Tx,
Ty,
Tz,
ρ,
ω,
τ) both in
Ag and
Eg (Raman), and in
Au and
Eu (IR) (ESI
Figure S17).
The coordinated water in aqua complexes has several normal modes,
ρr,
ρw,
ρt, and the
ν(Fe-O) mode, the latter being one of the hindered translations. The
ν(Fe-OH
2) modes are found at 436 cm
-1 (the Fe-O modes from ligand carbonyl oxygen coordination are located in the far-IR region (
Figure 11), at 378/361 cm
-1) [
47,
48]. These Fe-O modes were found in the Raman spectra at 440-430, 417 and 374 cm
-1 (
Figure 11). The deuteration of compound
2 induces a shift in the
ν(Fe-O) band from 436 to 427 cm
-1, thus this band belongs to a hindered translation Fe-OH
2 and the low wavenumber Fe-O band belongs to the
ν(Fe-O) (
N,N-dimethylurea-ligand) mode. The bands belonging to the normal modes (
ρr,
ρw,
ρt) of the coordinated and non-coordinated water cannot be analyzed in detail, due to the complexity of this system) In what follows, we give a brief and tentative assignment.
The non-coordinated H
2O correlation analysis is given in ESI
Figure S17. The
ρw mode of water is assigned at 547 cm
-1 in the IR spectrum of compound
2. The lattice modes of compound
2 were found at 320, 299, 250, 205, and 147 cm
-1 in the IR, whereas at 311, 301, 280, 238, 208, 194, and 107 cm
-1 in the Raman spectrum.